Help James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,500 for their reception. If the reception hall charges a $80 cleanup fee plus $30 per person, find the greatest number of people that they may invite and still stay within their budget.

Brent works part-time at a clothing store. he earns an hourly wage of $15. if he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? a. 15x > 45 b. 15x < 60 c. x > 60 d. 15x < 45 e. x < 60

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?

Are the corresponding angles congruent? explain why or why not.